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Submission #1102678

# Submission time Handle Problem Language Result Execution time Memory
1102678 2024-10-18T15:32:01 Z alexdd Graph (BOI20_graph) C++17
100 / 100
 174 ms 40952 KB 
#include <bits/stdc++.h>
#pragma GCC optimize("O3,unroll-loops")
using namespace std;
#define int long long
#define double long double
const int INF = 1e14;
int n,m;
double val[100005];
int u[200005],v[200005],s[200005];
vector<pair<int,int>> con[100005];
bool visited[100005];
bool bun;
double cur;
vector<int> aux;
vector<pair<double,int>> v0;
int parte[100005];
void dfs(int nod)
{
    if(parte[nod]==0) v0.push_back({val[nod],nod});
    else v0.push_back({-val[nod],nod});
    aux.push_back(nod);
    visited[nod]=1;
    for(auto [adj,sum]:con[nod])
    {
        if(!visited[adj])
        {
            val[adj] = sum - val[nod];
            dfs(adj);
        }
        else if(val[adj] != sum - val[nod])
            bun = 0;
    }
}
bool isbipartit;
pair<int,int> parent[100005];
int cap1,cap2,scap;
void dfs_bipartit(int nod)
{
    for(auto [adj,c]:con[nod])
    {
        if(parte[adj]==-1)
        {
            parte[adj] = 1-parte[nod];
            parent[adj] = {nod,c};
            dfs_bipartit(adj);
        }
        else if(parte[adj] != 1-parte[nod])
        {
            isbipartit=0;
            cap1 = adj;
            cap2 = nod;
            scap = c;
        }
    }
}
bool verif_bipartit(int nod)
{
    parte[nod]=0;
    isbipartit=1;
    dfs_bipartit(nod);
    if(!isbipartit)
    {
        int cur=cap1;
        double sum=scap,sum2=0;
        int pas=0;
        while(cur!=cap2)
        {
            if(pas==0)
            {
                sum2 += parent[cur].second;
            }
            pas = 1-pas;
            sum += parent[cur].second;
            cur = parent[cur].first;
        }
        sum/=2;
        val[cap2] = sum - sum2;
        bun=1;
        dfs(cap2);
        if(!bun)
        {
            cout<<"NO";
            exit(0);
        }
    }
    return isbipartit;
}
vector<double> possible;
signed main()
{
    ios_base::sync_with_stdio(0);cin.tie(0);
    for(double i=-100;i<=100;i+=0.5)
        possible.push_back(i);
    cin>>n>>m;
    for(int i=1;i<=m;i++)
    {
        cin>>u[i]>>v[i]>>s[i];
        con[u[i]].push_back({v[i],s[i]});
        con[v[i]].push_back({u[i],s[i]});
    }
    for(int i=1;i<=n;i++)
    {
        parte[i]=-1;
        visited[i]=0;
    }
    for(int i=1;i<=n;i++)
    {
        if(!visited[i])
        {
            if(verif_bipartit(i))
            {
                bun=1;
                val[i]=0;
                v0.clear();
                dfs(i);
                if(!bun)
                {
                    cout<<"NO";
                    return 0;
                }
                double mnm=INF,unde;
                for(double x:possible)
                {
                    double cur=0;
                    for(auto [y,id]:v0)
                        cur += abs(y+x);
                    if(cur < mnm)
                    {
                        mnm = cur;
                        unde = x;
                    }
                }
                for(auto [y,id]:v0)
                {
                    if(parte[id]==0) val[id] += unde;
                    else val[id] -= unde;
                }
            }
        }
    }
    cout<<"YES\n";
    for(int i=1;i<=n;i++)
        cout<<val[i]<<" ";
    return 0;
}

Compilation message

Graph.cpp: In function 'int main()':
Graph.cpp:136:34: warning: 'unde' may be used uninitialized in this function [-Wmaybe-uninitialized]
  136 |                     else val[id] -= unde;
      |                          ~~~~~~~~^~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10576 KB answer = YES
2 Correct 2 ms 10576 KB answer = YES
3 Correct 2 ms 10748 KB answer = YES
4 Correct 2 ms 10576 KB answer = NO
5 Correct 2 ms 10576 KB answer = YES
6 Correct 2 ms 10576 KB answer = YES
7 Correct 2 ms 10576 KB answer = YES
8 Correct 2 ms 10576 KB answer = YES
9 Correct 2 ms 10576 KB answer = NO
10 Correct 3 ms 10576 KB answer = YES
11 Correct 2 ms 10732 KB answer = YES
12 Correct 2 ms 10676 KB answer = NO
13 Correct 2 ms 10576 KB answer = YES
14 Correct 2 ms 10576 KB answer = YES
15 Correct 2 ms 10576 KB answer = YES
16 Correct 2 ms 10576 KB answer = YES
17 Correct 2 ms 8528 KB answer = YES
18 Correct 2 ms 10576 KB answer = YES
19 Correct 2 ms 10576 KB answer = YES
20 Correct 2 ms 10576 KB answer = YES
21 Correct 2 ms 10740 KB answer = YES
22 Correct 2 ms 10576 KB answer = NO
23 Correct 2 ms 10576 KB answer = NO

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10576 KB answer = YES
2 Correct 2 ms 10576 KB answer = YES
3 Correct 2 ms 10748 KB answer = YES
4 Correct 2 ms 10576 KB answer = NO
5 Correct 2 ms 10576 KB answer = YES
6 Correct 2 ms 10576 KB answer = YES
7 Correct 2 ms 10576 KB answer = YES
8 Correct 2 ms 10576 KB answer = YES
9 Correct 2 ms 10576 KB answer = NO
10 Correct 3 ms 10576 KB answer = YES
11 Correct 2 ms 10732 KB answer = YES
12 Correct 2 ms 10676 KB answer = NO
13 Correct 2 ms 10576 KB answer = YES
14 Correct 2 ms 10576 KB answer = YES
15 Correct 2 ms 10576 KB answer = YES
16 Correct 2 ms 10576 KB answer = YES
17 Correct 2 ms 8528 KB answer = YES
18 Correct 2 ms 10576 KB answer = YES
19 Correct 2 ms 10576 KB answer = YES
20 Correct 2 ms 10576 KB answer = YES
21 Correct 2 ms 10740 KB answer = YES
22 Correct 2 ms 10576 KB answer = NO
23 Correct 2 ms 10576 KB answer = NO
24 Correct 2 ms 10576 KB answer = YES
25 Correct 2 ms 10588 KB answer = YES
26 Correct 2 ms 10576 KB answer = YES
27 Correct 2 ms 10748 KB answer = YES
28 Correct 2 ms 10576 KB answer = YES
29 Correct 3 ms 10576 KB answer = YES
30 Correct 2 ms 10576 KB answer = NO
31 Correct 2 ms 10576 KB answer = YES
32 Correct 2 ms 10744 KB answer = YES
33 Correct 2 ms 10576 KB answer = YES
34 Correct 2 ms 10576 KB answer = YES
35 Correct 2 ms 10576 KB answer = YES
36 Correct 2 ms 10676 KB answer = YES

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10576 KB answer = YES
2 Correct 2 ms 10576 KB answer = YES
3 Correct 2 ms 10748 KB answer = YES
4 Correct 2 ms 10576 KB answer = NO
5 Correct 2 ms 10576 KB answer = YES
6 Correct 2 ms 10576 KB answer = YES
7 Correct 2 ms 10576 KB answer = YES
8 Correct 2 ms 10576 KB answer = YES
9 Correct 2 ms 10576 KB answer = NO
10 Correct 3 ms 10576 KB answer = YES
11 Correct 2 ms 10732 KB answer = YES
12 Correct 2 ms 10676 KB answer = NO
13 Correct 2 ms 10576 KB answer = YES
14 Correct 2 ms 10576 KB answer = YES
15 Correct 2 ms 10576 KB answer = YES
16 Correct 2 ms 10576 KB answer = YES
17 Correct 2 ms 8528 KB answer = YES
18 Correct 2 ms 10576 KB answer = YES
19 Correct 2 ms 10576 KB answer = YES
20 Correct 2 ms 10576 KB answer = YES
21 Correct 2 ms 10740 KB answer = YES
22 Correct 2 ms 10576 KB answer = NO
23 Correct 2 ms 10576 KB answer = NO
24 Correct 2 ms 10576 KB answer = YES
25 Correct 2 ms 10588 KB answer = YES
26 Correct 2 ms 10576 KB answer = YES
27 Correct 2 ms 10748 KB answer = YES
28 Correct 2 ms 10576 KB answer = YES
29 Correct 3 ms 10576 KB answer = YES
30 Correct 2 ms 10576 KB answer = NO
31 Correct 2 ms 10576 KB answer = YES
32 Correct 2 ms 10744 KB answer = YES
33 Correct 2 ms 10576 KB answer = YES
34 Correct 2 ms 10576 KB answer = YES
35 Correct 2 ms 10576 KB answer = YES
36 Correct 2 ms 10676 KB answer = YES
37 Correct 3 ms 10576 KB answer = YES
38 Correct 2 ms 10576 KB answer = YES
39 Correct 3 ms 10576 KB answer = YES
40 Correct 3 ms 10832 KB answer = YES
41 Correct 3 ms 10832 KB answer = NO
42 Correct 3 ms 10832 KB answer = YES
43 Correct 4 ms 10832 KB answer = YES
44 Correct 4 ms 10832 KB answer = YES
45 Correct 4 ms 10888 KB answer = YES
46 Correct 3 ms 10576 KB answer = YES
47 Correct 3 ms 10832 KB answer = YES
48 Correct 3 ms 10832 KB answer = YES

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10576 KB answer = YES
2 Correct 2 ms 10576 KB answer = YES
3 Correct 2 ms 10748 KB answer = YES
4 Correct 2 ms 10576 KB answer = NO
5 Correct 2 ms 10576 KB answer = YES
6 Correct 2 ms 10576 KB answer = YES
7 Correct 2 ms 10576 KB answer = YES
8 Correct 2 ms 10576 KB answer = YES
9 Correct 2 ms 10576 KB answer = NO
10 Correct 3 ms 10576 KB answer = YES
11 Correct 2 ms 10732 KB answer = YES
12 Correct 2 ms 10676 KB answer = NO
13 Correct 2 ms 10576 KB answer = YES
14 Correct 2 ms 10576 KB answer = YES
15 Correct 2 ms 10576 KB answer = YES
16 Correct 2 ms 10576 KB answer = YES
17 Correct 2 ms 8528 KB answer = YES
18 Correct 2 ms 10576 KB answer = YES
19 Correct 2 ms 10576 KB answer = YES
20 Correct 2 ms 10576 KB answer = YES
21 Correct 2 ms 10740 KB answer = YES
22 Correct 2 ms 10576 KB answer = NO
23 Correct 2 ms 10576 KB answer = NO
24 Correct 2 ms 10576 KB answer = YES
25 Correct 2 ms 10588 KB answer = YES
26 Correct 2 ms 10576 KB answer = YES
27 Correct 2 ms 10748 KB answer = YES
28 Correct 2 ms 10576 KB answer = YES
29 Correct 3 ms 10576 KB answer = YES
30 Correct 2 ms 10576 KB answer = NO
31 Correct 2 ms 10576 KB answer = YES
32 Correct 2 ms 10744 KB answer = YES
33 Correct 2 ms 10576 KB answer = YES
34 Correct 2 ms 10576 KB answer = YES
35 Correct 2 ms 10576 KB answer = YES
36 Correct 2 ms 10676 KB answer = YES
37 Correct 3 ms 10576 KB answer = YES
38 Correct 2 ms 10576 KB answer = YES
39 Correct 3 ms 10576 KB answer = YES
40 Correct 3 ms 10832 KB answer = YES
41 Correct 3 ms 10832 KB answer = NO
42 Correct 3 ms 10832 KB answer = YES
43 Correct 4 ms 10832 KB answer = YES
44 Correct 4 ms 10832 KB answer = YES
45 Correct 4 ms 10888 KB answer = YES
46 Correct 3 ms 10576 KB answer = YES
47 Correct 3 ms 10832 KB answer = YES
48 Correct 3 ms 10832 KB answer = YES
49 Correct 20 ms 12092 KB answer = YES
50 Correct 9 ms 12656 KB answer = YES
51 Correct 22 ms 12492 KB answer = YES
52 Correct 7 ms 12492 KB answer = NO
53 Correct 4 ms 10832 KB answer = YES
54 Correct 5 ms 11100 KB answer = YES
55 Correct 9 ms 11344 KB answer = YES
56 Correct 20 ms 12020 KB answer = YES
57 Correct 18 ms 11600 KB answer = YES
58 Correct 15 ms 11600 KB answer = YES
59 Correct 8 ms 11980 KB answer = YES
60 Correct 17 ms 11792 KB answer = YES
61 Correct 5 ms 11344 KB answer = YES
62 Correct 51 ms 21276 KB answer = NO
63 Correct 57 ms 21256 KB answer = YES
64 Correct 62 ms 21260 KB answer = NO
65 Correct 54 ms 21256 KB answer = YES
66 Correct 5 ms 10832 KB answer = YES

Subtask #5
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10576 KB answer = YES
2 Correct 2 ms 10576 KB answer = YES
3 Correct 2 ms 10748 KB answer = YES
4 Correct 2 ms 10576 KB answer = NO
5 Correct 2 ms 10576 KB answer = YES
6 Correct 2 ms 10576 KB answer = YES
7 Correct 2 ms 10576 KB answer = YES
8 Correct 2 ms 10576 KB answer = YES
9 Correct 2 ms 10576 KB answer = NO
10 Correct 3 ms 10576 KB answer = YES
11 Correct 2 ms 10732 KB answer = YES
12 Correct 2 ms 10676 KB answer = NO
13 Correct 2 ms 10576 KB answer = YES
14 Correct 2 ms 10576 KB answer = YES
15 Correct 2 ms 10576 KB answer = YES
16 Correct 2 ms 10576 KB answer = YES
17 Correct 2 ms 8528 KB answer = YES
18 Correct 2 ms 10576 KB answer = YES
19 Correct 2 ms 10576 KB answer = YES
20 Correct 2 ms 10576 KB answer = YES
21 Correct 2 ms 10740 KB answer = YES
22 Correct 2 ms 10576 KB answer = NO
23 Correct 2 ms 10576 KB answer = NO
24 Correct 2 ms 10576 KB answer = YES
25 Correct 2 ms 10588 KB answer = YES
26 Correct 2 ms 10576 KB answer = YES
27 Correct 2 ms 10748 KB answer = YES
28 Correct 2 ms 10576 KB answer = YES
29 Correct 3 ms 10576 KB answer = YES
30 Correct 2 ms 10576 KB answer = NO
31 Correct 2 ms 10576 KB answer = YES
32 Correct 2 ms 10744 KB answer = YES
33 Correct 2 ms 10576 KB answer = YES
34 Correct 2 ms 10576 KB answer = YES
35 Correct 2 ms 10576 KB answer = YES
36 Correct 2 ms 10676 KB answer = YES
37 Correct 3 ms 10576 KB answer = YES
38 Correct 2 ms 10576 KB answer = YES
39 Correct 3 ms 10576 KB answer = YES
40 Correct 3 ms 10832 KB answer = YES
41 Correct 3 ms 10832 KB answer = NO
42 Correct 3 ms 10832 KB answer = YES
43 Correct 4 ms 10832 KB answer = YES
44 Correct 4 ms 10832 KB answer = YES
45 Correct 4 ms 10888 KB answer = YES
46 Correct 3 ms 10576 KB answer = YES
47 Correct 3 ms 10832 KB answer = YES
48 Correct 3 ms 10832 KB answer = YES
49 Correct 20 ms 12092 KB answer = YES
50 Correct 9 ms 12656 KB answer = YES
51 Correct 22 ms 12492 KB answer = YES
52 Correct 7 ms 12492 KB answer = NO
53 Correct 4 ms 10832 KB answer = YES
54 Correct 5 ms 11100 KB answer = YES
55 Correct 9 ms 11344 KB answer = YES
56 Correct 20 ms 12020 KB answer = YES
57 Correct 18 ms 11600 KB answer = YES
58 Correct 15 ms 11600 KB answer = YES
59 Correct 8 ms 11980 KB answer = YES
60 Correct 17 ms 11792 KB answer = YES
61 Correct 5 ms 11344 KB answer = YES
62 Correct 51 ms 21276 KB answer = NO
63 Correct 57 ms 21256 KB answer = YES
64 Correct 62 ms 21260 KB answer = NO
65 Correct 54 ms 21256 KB answer = YES
66 Correct 5 ms 10832 KB answer = YES
67 Correct 169 ms 34736 KB answer = YES
68 Correct 154 ms 34844 KB answer = YES
69 Correct 75 ms 34740 KB answer = YES
70 Correct 93 ms 40952 KB answer = YES
71 Correct 66 ms 34996 KB answer = YES
72 Correct 153 ms 23804 KB answer = YES
73 Correct 59 ms 23812 KB answer = YES
74 Correct 45 ms 21540 KB answer = YES
75 Correct 26 ms 23504 KB answer = NO
76 Correct 20 ms 11968 KB answer = YES
77 Correct 37 ms 13256 KB answer = YES
78 Correct 66 ms 16580 KB answer = YES
79 Correct 125 ms 22780 KB answer = YES
80 Correct 102 ms 23540 KB answer = YES
81 Correct 37 ms 28608 KB answer = NO
82 Correct 74 ms 33972 KB answer = YES
83 Correct 111 ms 35504 KB answer = YES
84 Correct 174 ms 35456 KB answer = YES
85 Correct 161 ms 36276 KB answer = YES
86 Correct 75 ms 36284 KB answer = YES
87 Correct 48 ms 23232 KB answer = NO
88 Correct 108 ms 27660 KB answer = YES
89 Correct 74 ms 24600 KB answer = YES
90 Correct 68 ms 21520 KB answer = YES
91 Correct 75 ms 22212 KB answer = YES
92 Correct 35 ms 17608 KB answer = YES
93 Correct 34 ms 17608 KB answer = YES
94 Correct 71 ms 36468 KB answer = NO
95 Correct 34 ms 18632 KB answer = NO
96 Correct 155 ms 38888 KB answer = YES
97 Correct 46 ms 35772 KB answer = NO